We briefly review the derivation of the Vlasov equation, which is a convenient approximation for the description of the transport properties of long-range interacting systems. We then point out that the presence of an external source of noise, like for instance a heat bath, induces dynamical phase transitions from ordered non-equilibrium Vlasov-stable states to disordered ones.
Long-range interacting systems and dynamical phase transitions
BALDOVIN, FULVIO;ORLANDINI, ENZO;
2011
Abstract
We briefly review the derivation of the Vlasov equation, which is a convenient approximation for the description of the transport properties of long-range interacting systems. We then point out that the presence of an external source of noise, like for instance a heat bath, induces dynamical phase transitions from ordered non-equilibrium Vlasov-stable states to disordered ones.
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